Question

5 t-shirts and a hat costs £27.00

2 t-shirts and a hat costs £12.00.
How much does a t-shirt cost?
How much does a hat cost?

Answer 1

Let say that t-shirt is X and hat is Y
We get: 5X+Y=27.00
2X+Y=12.00
solve for X in the first equation
5X+Y= 27
5X=27-Y
X=27-Y/5
Replace X= 27-Y/5 in equation 1 or 2
I use equation 2:
2*27-Y/5+Y=12
54-2Y/5+Y=12
make the denominator equal
54-2Y/5+5Y/5=12
54+3Y/5=12
Multiply 5 both side
54+3Y = 60
3Y = 60-54
3Y= 6
Y=6/3
Y=2
Replace Y= 2 in equation 1 or 2
I use 2:
2X+2=12
2X=10
X=5
Thus the answer is T-shirt cost : £5 and hat cost : £2

Answer 2

£2

Explanation:

Let T represent T-shirt and H represent hat

5T + H = £27.00

2T + H = £12.00 Subtract two equation

5T + H - 2T - H = £27 - £12 ➡ 3T = £15 and T = £5 this is the cost for a t-shirt

If a t-shirt costs £5 and 2 t-shirt + a hat costs £12 then a hat costs £2